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45363032 = 231113192087
BaseRepresentation
bin1010110100001…
…0111101011000
310011100200101022
42231002331120
543103104112
64300142012
71060402511
oct255027530
9104320338
1045363032
1123673a10
1213237908
139523940
14604ba08
153eb0d72
hex2b42f58

45363032 has 64 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 18023040.

The previous prime is 45363023. The next prime is 45363041. The reversal of 45363032 is 23036354.

45363032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45363023) and next prime (45363041).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 45362992 and 45363010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20693 + ... + 22779.

It is an arithmetic number, because the mean of its divisors is an integer number (1644300).

Almost surely, 245363032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45363032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52617600).

45363032 is an abundant number, since it is smaller than the sum of its proper divisors (59872168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45363032 is a wasteful number, since it uses less digits than its factorization.

45363032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 45363032 is about 6735.2083857888. The cubic root of 45363032 is about 356.6432631842.

Adding to 45363032 its reverse (23036354), we get a palindrome (68399386).

The spelling of 45363032 in words is "forty-five million, three hundred sixty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1672 1976 2087 2717 4174 5434 8348 10868 16696 21736 22957 27131 39653 45914 54262 79306 91828 108524 158612 183656 217048 298441 317224 436183 515489 596882 872366 1030978 1193764 1744732 2061956 2387528 3489464 4123912 5670379 11340758 22681516 45363032